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Finding the Fourth Proportional to 812.71, 1,219.25 and 257.45

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Solution

The fourth proportional to 812.71, 1,219.25 and 257.45 is: 386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.71 : 1,219.25 = 257.45 : x
  2. Step 2: Convert to fraction form
    812.71/1,219.25 = 257.45/x
  3. Step 3: Cross multiply
    812.71x = 1,219.25 × 257.45
  4. Step 4: Simplify right side
    812.71x = 313,898.64
  5. Step 5: Solve for x
    x = 313,898.64/812.71
  6. Step 6: Final answer
    x = 386.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.